Thursday, 21 August 2014

Inverse Functions

 


Let the function   y=f(x)  be defined as the set of   X  
and have a range  Y.

If the each   y   is the element of   there exists a single value of   x   such that    f(x)=y.

then this correspondence defines a certain function  x=g(y)
called inverse with respect to given function   y=f(x).

The sufficient condition for existence of an inverse is  a strict monotony of the original function
               y=f(x).

If the function increases (decreases), then the inverse function is also decreases (increases).

Graph of the inverse function   x=g(y)  coincides with that of the function   y=f(x)   if the independent variable is marked off along the    y-axis.   If the independent variable is laid off along the   x-axis   i.e. if the inverse function is written in the form    y=g(x),     then the graph of the inverse function will be symmetric to that of the function     y=f(x)    with respect to the bisector of the first and third quadrant.



Our Latest Post

Introduction of Circle

All of my lessons and teaching videos are in English and most of them are for students of Logistics Management. But many of mys students an...

Popular Post